Question

Find the LCM and HCF P^3+8 and P^2-4

Answer 1

Answer:

Answer:

1/p^5 or p^-5

Step-by-step explanation:

p^2-4 = p^-2 = 1/p^2

Similarly,

p^3-8 = p^-5 =1/p^5

because numbers are in fraction form

so HCF OF( 1/p^2 , 1/p^5  ) = HCF OF NUMEBRATOR/LCM OF DENOMINATOR

Here numerator is 1 ,1

Here denomiator is p^2 ,p^2

According to formula

HCF of (1,1 ) = 1

now p^5 can be written as p x p x p x p x p

p^3 can be written as p x p x p

so, LCM of( p^5,p^2) = p^5

So ans is (1 / p^5) or p^-5

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Step-by-step explanation:

sorry only HCF

Answer 2

Answer:

p^3+8

p^3-(2)^3

(p-2)(p^2+2p+4)

p^2-4

p^2-(2)^2

(p+2)(p-2)

so LCM is (p-2)(p+2)(p^2+2p+4)

and HCF is (p-2)